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Variations on a Paper of Erdős and Heilbronn

Published online by Cambridge University Press:  20 November 2018

P. D. T. A. Elliott*
Affiliation:
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Abstract

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It is shown that an old direct argument of Erdős and Heilbronn may be elaborated to yield a result of the current inverse type.

Keywords

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2010

References

[1] Davenport, H.. On the addition of residue classes. Journ. London Math. Soc. 10(1935), 3032.Google Scholar
[2] Erdős, P. and Heilbronn, H., On the addition of residue classes mod p. Acta Arith. 9(1964), 149159.Google Scholar
[3] Halász, G., Estimates for the concentration function of combinatorial number theory and probability. Period. Math. Hungar. 8(1977), 34, 197–211. doi:10.1007/BF02018403Google Scholar
[4] Olson, J. E., An addition theorem modulo p. J. Comb. Th. 5(1968), 4552. doi:10.1016/S0021-9800(68)80027-4Google Scholar
[5] Sárközy, A. and Szemerédi, E., Über ein Problem von Erdős and Moser. Acta Arith. 11(1965), 205208.Google Scholar